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Finding the Third Proportional to 20,024,840 and 42,884,032

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Solution

The third proportional to 20,024,840 and 42,884,032 is: 91,837,947.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,024,840 : 42,884,032 = 42,884,032 : x
  2. Step 2: Convert to fraction form
    20,024,840/42,884,032 = 42,884,032/x
  3. Step 3: Cross multiply
    20,024,840x = 42,884,032 × 42,884,032
  4. Step 4: Simplify right side
    20,024,840x = 1,839,040,200,577,024
  5. Step 5: Solve for x
    x = 1,839,040,200,577,024/20,024,840
  6. Step 6: Final answer
    x = 91,837,947.30

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.